1 |
C $Header: /u/gcmpack/MITgcm/pkg/generic_advdiff/gad_dst3_adv_r.F,v 1.9 2006/10/22 01:08:04 jmc Exp $ |
2 |
C $Name: $ |
3 |
|
4 |
#include "GAD_OPTIONS.h" |
5 |
|
6 |
CBOP |
7 |
C !ROUTINE: GAD_DST3_ADV_R |
8 |
|
9 |
C !INTERFACE: ========================================================== |
10 |
SUBROUTINE GAD_DST3_ADV_R( |
11 |
I bi,bj,k,dTarg, |
12 |
I rTrans, wFld, |
13 |
I tracer, |
14 |
O wT, |
15 |
I myThid ) |
16 |
|
17 |
C !DESCRIPTION: |
18 |
C Calculates the area integrated vertical flux due to advection of a tracer |
19 |
C using 3rd-order Direct Space and Time (DST-3) Advection Scheme |
20 |
|
21 |
C !USES: =============================================================== |
22 |
IMPLICIT NONE |
23 |
|
24 |
C == GLobal variables == |
25 |
#include "SIZE.h" |
26 |
#ifdef OLD_DST3_FORMULATION |
27 |
#include "EEPARAMS.h" |
28 |
#include "PARAMS.h" |
29 |
#endif |
30 |
#include "GRID.h" |
31 |
#include "GAD.h" |
32 |
|
33 |
C == Routine arguments == |
34 |
C !INPUT PARAMETERS: =================================================== |
35 |
C bi,bj :: tile indices |
36 |
C k :: vertical level |
37 |
C deltaTloc :: local time-step (s) |
38 |
C rTrans :: vertical volume transport |
39 |
C wFld :: vertical flow |
40 |
C tracer :: tracer field |
41 |
C myThid :: thread number |
42 |
INTEGER bi,bj,k |
43 |
_RL dTarg |
44 |
_RL rTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
45 |
_RL wFld (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
46 |
_RL tracer(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
47 |
INTEGER myThid |
48 |
|
49 |
C !OUTPUT PARAMETERS: ================================================== |
50 |
C wT :: vertical advective flux |
51 |
_RL wT (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
52 |
|
53 |
C == Local variables == |
54 |
C !LOCAL VARIABLES: ==================================================== |
55 |
C i,j :: loop indices |
56 |
C km1 :: =max( k-1 , 1 ) |
57 |
C wLoc :: velocity, vertical component |
58 |
C wCFL :: Courant-Friedrich-Levy number |
59 |
INTEGER i,j,kp1,km1,km2 |
60 |
_RL wLoc |
61 |
_RL Rjm,Rj,Rjp,cfl,d0,d1 |
62 |
#ifdef OLD_DST3_FORMULATION |
63 |
_RL psiP,psiM,thetaP,thetaM |
64 |
_RL smallNo |
65 |
|
66 |
IF (inAdMode) THEN |
67 |
smallNo = 1.0D-20 |
68 |
ELSE |
69 |
smallNo = 1.0D-20 |
70 |
ENDIF |
71 |
#endif |
72 |
|
73 |
km2=MAX(1,k-2) |
74 |
km1=MAX(1,k-1) |
75 |
kp1=MIN(Nr,k+1) |
76 |
|
77 |
DO j=1-Oly,sNy+Oly |
78 |
DO i=1-Olx,sNx+Olx |
79 |
Rjp=(tracer(i,j,k)-tracer(i,j,kp1)) |
80 |
& *maskC(i,j,kp1,bi,bj) |
81 |
Rj =(tracer(i,j,km1)-tracer(i,j,k)) |
82 |
& *maskC(i,j,k,bi,bj)*maskC(i,j,km1,bi,bj) |
83 |
Rjm=(tracer(i,j,km2)-tracer(i,j,km1)) |
84 |
& *maskC(i,j,km1,bi,bj) |
85 |
|
86 |
wLoc = wFld(i,j) |
87 |
c wLoc = rTrans(i,j)*recip_rA(i,j,bi,bj) |
88 |
cfl=ABS(wLoc*dTarg*recip_drC(k)) |
89 |
d0=(2.-cfl)*(1.-cfl)*oneSixth |
90 |
d1=(1.-cfl*cfl)*oneSixth |
91 |
#ifdef OLD_DST3_FORMULATION |
92 |
IF ( ABS(Rj).LT.smallNo .OR. |
93 |
& ABS(Rjm).LT.smallNo ) THEN |
94 |
thetaP=0. |
95 |
psiP=0. |
96 |
ELSE |
97 |
thetaP=(Rjm+smallNo)/(smallNo+Rj) |
98 |
psiP=d0+d1*thetaP |
99 |
ENDIF |
100 |
IF ( ABS(Rj).LT.smallNo .OR. |
101 |
& ABS(Rjp).LT.smallNo ) THEN |
102 |
thetaM=0. |
103 |
psiM=0. |
104 |
ELSE |
105 |
thetaM=(Rjp+smallNo)/(smallNo+Rj) |
106 |
psiM=d0+d1*thetaM |
107 |
ENDIF |
108 |
wT(i,j)= |
109 |
& 0.5*(rTrans(i,j)+ABS(rTrans(i,j))) |
110 |
& *( tracer(i,j, k ) + psiM*Rj ) |
111 |
& +0.5*(rTrans(i,j)-ABS(rTrans(i,j))) |
112 |
& *( tracer(i,j,km1) - psiP*Rj ) |
113 |
#else /* OLD_DST3_FORMULATION */ |
114 |
wT(i,j)= |
115 |
& 0.5*(rTrans(i,j)+ABS(rTrans(i,j))) |
116 |
& *( tracer(i,j, k ) + (d0*Rj+d1*Rjp) ) |
117 |
& +0.5*(rTrans(i,j)-ABS(rTrans(i,j))) |
118 |
& *( tracer(i,j,km1) - (d0*Rj+d1*Rjm) ) |
119 |
#endif /* OLD_DST3_FORMULATION */ |
120 |
|
121 |
ENDDO |
122 |
ENDDO |
123 |
|
124 |
RETURN |
125 |
END |